A University coach was asked to select teams in three sports: Shooting, Cricket (batsmen only) and “Snakes & Ladder”. The honest and keen observer head boy of the school informed the coach that he had observed 100 students playing the three games - shooting, cricket and “Snakes & Ladder”. In shooting, all students were given 100 chances to hit a target. In cricket, a batsman faced a maximum of 100 balls, provided he DID NOT GET OUT. In “Snakes & Ladder”, every student could play 100 matches, one each with the other students and one against a computer. In shooting, a player got one point for hitting the target and zero point for missing the target. In cricket, a batsman got one point for hitting the ball and zero point for missing it. In “Snakes & Ladder”, a person got one point for winning the game and zero for losing. To the coach’s utter surprise, the distribution of points across all three games was the same. It was as follows:

The coach has to select a team of eleven in each sport.